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Finding the Third Proportional to 80,959.50 and 171,122.63

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Solution

The third proportional to 80,959.50 and 171,122.63 is: 361,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,959.50 : 171,122.63 = 171,122.63 : x
  2. Step 2: Convert to fraction form
    80,959.50/171,122.63 = 171,122.63/x
  3. Step 3: Cross multiply
    80,959.50x = 171,122.63 × 171,122.63
  4. Step 4: Simplify right side
    80,959.50x = 29,282,952,786.89
  5. Step 5: Solve for x
    x = 29,282,952,786.89/80,959.50
  6. Step 6: Final answer
    x = 361,698.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.